Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

doi:10.1088/1674-1056/ac6582

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 87303-087303.doi: 10.1088/1674-1056/ac6582

Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

Shan-Shan Chen(陈珊珊)^†, Yang Yang(杨阳)^†, and Fan Yang(杨帆)^‡

Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China

收稿日期:2022-03-08 修回日期:2022-04-08 接受日期:2022-04-08 出版日期:2022-07-18 发布日期:2022-07-27
通讯作者: Fan Yang E-mail:fanyangphys@tju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11904259) and the Natural Science Foundation of Tianjin (Grant No. 20JC-QNJC02040).

Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

Shan-Shan Chen(陈珊珊)^†, Yang Yang(杨阳)^†, and Fan Yang(杨帆)^‡

Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China

Received:2022-03-08 Revised:2022-04-08 Accepted:2022-04-08 Online:2022-07-18 Published:2022-07-27
Contact: Fan Yang E-mail:fanyangphys@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11904259) and the Natural Science Foundation of Tianjin (Grant No. 20JC-QNJC02040).

摘要/Abstract

摘要： The effective-medium theory (EMT) has proved successful in modeling the non-saturating linear magnetoresistance induced by inhomogeneity. However, calculating magnetoresistance using the EMT usually involves solving coupled integral equations which have no analytical solutions, and therefore, it is still difficult to directly compare the predictions of EMT with experimental data. Here we demonstrate that the linear magnetoresistance predicted by the EMT can be either exactly formulated or well approximated by a simple analytical equation $\Delta\rho/\rho_0=\sqrt{k^2B^2+a^2}-a$ in a number of known situations. The relations between the EMT parameters and the phenomenological parameters $k$ and $a$ are evaluated. Our results provide a convenient and effective method for extracting the EMT parameters from experimental data.

关键词: linear magnetoresistance, effective medium theory

Abstract: The effective-medium theory (EMT) has proved successful in modeling the non-saturating linear magnetoresistance induced by inhomogeneity. However, calculating magnetoresistance using the EMT usually involves solving coupled integral equations which have no analytical solutions, and therefore, it is still difficult to directly compare the predictions of EMT with experimental data. Here we demonstrate that the linear magnetoresistance predicted by the EMT can be either exactly formulated or well approximated by a simple analytical equation $\Delta\rho/\rho_0=\sqrt{k^2B^2+a^2}-a$ in a number of known situations. The relations between the EMT parameters and the phenomenological parameters $k$ and $a$ are evaluated. Our results provide a convenient and effective method for extracting the EMT parameters from experimental data.

Key words: linear magnetoresistance, effective medium theory

中图分类号: (Galvanomagnetic and other magnetotransport effects)

73.50.Jt

72.20.My (Galvanomagnetic and other magnetotransport effects)

Shan-Shan Chen(陈珊珊), Yang Yang(杨阳), and Fan Yang(杨帆). Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors[J]. 中国物理B, 2022, 31(8): 87303-087303.

Shan-Shan Chen(陈珊珊), Yang Yang(杨阳), and Fan Yang(杨帆). Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors[J]. Chin. Phys. B, 2022, 31(8): 87303-087303.

参考文献

[1] Xu R, Husmann A, Rosenbaum T F, Saboungi M, Enderby J E and Littlewood P B 1997 Nature 390 57
[2] Husmann A, Betts J B, Boebinger G S, Migliori A, Rosenbaum T F and Saboungi M L 2002 Nature 417 421
[3] Hu J and Rosenbaum T F 2008 Nat. Mater. 7 697
[4] Tiwari R P and Stroud D 2009 Phys. Rev. B 79 165408
[5] Friedman A L, Tedesco J L, Campbell P M, Culbertson J C, Aifer E, Perkins F K, Myers-Ward R L, Hite J K, Eddy C R Jr and Jernigan G G 2010 Nano Lett. 10 3962
[6] Ping J, Yudhistira I, Ramakrishnan N, Cho S, Adam S and Fuhrer M S 2014 Phys. Rev. Lett. 113 047206
[7] Wang W J, Gao K H, Li Z Q, Lin T, Li J, Yu C and Feng Z H 2014 Appl. Phys. Lett. 105 182102
[8] Kisslinger F, Ott C, Heide C, Kampert E, Butz B, Spiecker E, Shallcross S and Weber H B 2015 Nat. Phys. 11 650
[9] Tian J, Chang C, Cao H, He K, Ma X, Xue Q and Chen Y P 2014 Sci. Rep. 4 4859
[10] Wang Z H, Yang L, Li X J, Zhao X T, Wang H L, Zhang Z D and Gao X P 2014 Nano Lett. 14 6510
[11] Shekhar C, Nayak A K, Sun Y, Schmidt M, Nicklas M, Leermakers I, Zeitler U, Skourski Y, Wosnitza J and Liu Z 2015 Nat. Phys. 11 645
[12] Novak M, Sasaki S, Segawa K and Ando Y 2015 Phys. Rev. B 91 041203
[13] Feng J, Pang Y, Wu D, Wang Z, Weng H, Li J, Dai X, Fang Z, Shi Y and Lu L 2015 Phys. Rev. B 92 081306
[14] Narayanan A, Watson M D, Blake S F, Bruyant N, Drigo L, Chen Y L, Prabhakaran D, Yan B, Felser C and Kong T 2015 Phys. Rev. Lett. 114 117201
[15] Sinchenko A A, Grigoriev P D, Lejay P and Monceau P 2017 Phys. Rev. B 96 245129
[16] Feng Y, Wang Y, Silevitch D M, Yan J, Kobayashi R, Hedo M, Nakama T, Ōnuki Y, Suslov A V and Mihaila B 2019 Proc. Natl. Acad. Sci. USA 116 11201
[17] Chen H X, Li Z L, Fan X, Guo L W and Chen X L 2018 Solid State Commun. 275 16
[18] Zhang X, Luo T C, Hu X Y, Guo J, Lin G C, Li Y H, Liu Y Z, Li X K, Ge J, Xing Y, Zhu Z W, Gao P, Sun L L and Wang J 2019 Chin. Phys. Lett. 36 057402
[19] Gu S Y, Fan K X, Yang Y, Wang H, Li Y K, Qu F M, Liu G T, Li Z A, Wang Z Z, Yao Y G, Li J Q, Lu L and Yang F 2021 Phys. Rev. B 104 115203
[20] Abrikosov A A 1998 Phys. Rev. B 58 2788
[21] Abrikosov A A 2000 Europhys. Lett. 49 789
[22] Parish M M and Littlewood P B 2003 Nature 426 162
[23] Parish M M and Littlewood P B 2005 Phys. Rev. B 72 094417
[24] Hu J, Parish M M and Rosenbaum T F 2007 Phys. Rev. B 75 214203
[25] Stroud D and Pan F P 1976 Phys. Rev. B 13 1434
[26] Guttal V and Stroud D 2005 Phys. Rev. B 71 201304
[27] Ramakrishnan N, Lai Y T, Lara S, Parish M M and Adam S 2017 Phys. Rev. B 96 224203
[28] Cho S and Fuhrer M S 2008 Phys. Rev. B 77 081402
[29] Tiwari R P and Stroud D 2009 Phys. Rev. B 79 165408

Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

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